Question

the dimension of a rectangle piece of paper are 8.5 and 11 inches.veronicafolded the piece of paper along its diagonal.which measurement is closest to the lenght of the diagonal is inches?

Answer 1

13.90 inches

Explanation:

The sides of rectangle are 8.5 and 11 inches.

According to question diagonal needs to calculated.

The diagonal , and two sides of rectangle will forma a right angled triangle.

Right angle as it constitute a right angle of rectangle as well.

To understand more

construct a rectangle ABCD

then one of its diagonal will be AC if we take triangle ABC.

angle ABC will be right angled at B.

for triangle ABC . diagonal AC will be hypotenuse

So diagonal can be computed using Pythagoras theorem

which states that if a and b are two sides of right angled triangle containing the right angle then hypotenuse is given by
`√(a^2+b^2)`.

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In the problem

two sides are of length 8.5 and 11 inches

So, diagonal is hypotenuse which can be calculated by
`√(8.5^2+11^2)\\=>√(72.25+121)\\=>√(193.25)\\=>13.90`

thus length of diagonal is 13.90 inches.